Base | Representation |
---|---|
bin | 100101000011… |
… | …010100110000 |
3 | 200021110122200 |
4 | 211003110300 |
5 | 4441303234 |
6 | 544103200 |
7 | 145362423 |
oct | 45032460 |
9 | 20243580 |
10 | 9712944 |
11 | 553452a |
12 | 3304b00 |
13 | 2021007 |
14 | 140b9ba |
15 | cbcd99 |
hex | 943530 |
9712944 has 60 divisors (see below), whose sum is σ = 27932736. Its totient is φ = 3148416.
The previous prime is 9712931. The next prime is 9712949. The reversal of 9712944 is 4492179.
It is a super-2 number, since 2×97129442 = 188682562294272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 9712899 and 9712908.
It is not an unprimeable number, because it can be changed into a prime (9712949) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4417 + ... + 6239.
Almost surely, 29712944 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9712944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13966368).
9712944 is an abundant number, since it is smaller than the sum of its proper divisors (18219792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9712944 is a wasteful number, since it uses less digits than its factorization.
9712944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1874 (or 1865 counting only the distinct ones).
The product of its digits is 18144, while the sum is 36.
The square root of 9712944 is about 3116.5596416562. The cubic root of 9712944 is about 213.3619449472.
It can be divided in two parts, 97 and 12944, that added together give a triangular number (13041 = T161).
The spelling of 9712944 in words is "nine million, seven hundred twelve thousand, nine hundred forty-four".
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